Sampling Techniques (ISS (Statistical Services) Statistics Paper III): Questions 12 - 16 of 30

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Question number: 12

» Sampling Techniques » Stratified Random Sampling

Appeared in Year: 2010

Essay Question▾

Describe in Detail

Explain the concept of stratification in stratified simple Random sampling. What is proportional and optimum allocation in stratified simple Random sampling? With usual notations show that: V (Equation ) opt < V (Equation ) prop < V (Equation ) ran

Explanation

Stratification:

Stratification means division into layers, classes or categories. Past or some other information related to the character under study may be used to divide the population into various groups. Then simple random sampling or systematic sampling is applied within each stratum.

The strata should be mutually exclusive and exhaustive:

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Question number: 13

» Sampling Techniques » Cluster Sampling With SRS - Intra-Class Correlation Coefficient

Appeared in Year: 2010

Essay Question▾

Describe in Detail

What is cluster sampling? In the case of cluster sampling for proportions, obtain an unbiased

Estimator of population proportion. Also, compute variance of your estimator.

Explanation

Cluster sampling:

Cluster sampling is a type of sampling method. In this method, the population is divided into separate groups, called clusters. Then, a simple random sample of clusters is selected from the population. Then analysis is done on the data from the obtained sampled clusters.

The samplings lead to

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Question number: 14

» Sampling Techniques » Simple Random Sampling With and Without Replacement

Appeared in Year: 2011

Short Answer Question▾

Write in Short

Explain the concept of simple random/sampling with and without replacement. In a simple Random sampling, show that Equation is an unbiased estimator of Equation .

Question number: 15

» Sampling Techniques » Stratified Random Sampling

Appeared in Year: 2011

Essay Question▾

Describe in Detail

Let for a stratified random samplingEquation whereEquation is constant, Equation is the-cost per unit-in ith stratum, Equation Equation is the mean square based on Equation units.

Estimate the sample sizen under optimum allocation for fixed costEquation .

Explanation

Under optimum allocation, Equation are obtained such that

(i) minimize the variance of the estimate for (a) fixed sample size n;

(i) var (Equation is minimum for fixed n

(ii) var (Equation is minimum for fixed total cost C

(iii) Total cost C is minimum for

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Question number: 16

» Sampling Techniques » Simple Random Sampling and Systematic Sampling

Appeared in Year: 2011

Essay Question▾

Describe in Detail

Explain aligned sample and unaligned systematic sampling method

Explanation

Systematic sampling in two dimensions:

The linear systematic sampling can be extended for two dimensions populations. here it is assumed that the n m k l population units are arranged in the form of ml rows, each containing nk units and a systematic sampling of m n units is selected.

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